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Finding the Third Proportional to 169,378 and 263,739

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Solution

The third proportional to 169,378 and 263,739 is: 410,668.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,378 : 263,739 = 263,739 : x
  2. Step 2: Convert to fraction form
    169,378/263,739 = 263,739/x
  3. Step 3: Cross multiply
    169,378x = 263,739 × 263,739
  4. Step 4: Simplify right side
    169,378x = 69,558,260,121
  5. Step 5: Solve for x
    x = 69,558,260,121/169,378
  6. Step 6: Final answer
    x = 410,668.80

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.